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Understand a Fraction on a Number Line

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Aligned To Common Core Standard:

Grade 3 Fractions - 3.NF.2

How to Visually Represent a Fraction - To understand fractions, you need to represent them visually. There are multiple ways in which fractions can be represented. If you were told this lesson is going to take a quarter of an hour, then you already know we are saying 15 minutes. There is 60 min in an hour and 1/4th of an hour is 15 min. So, no matter how far you go, you will always be able to find fractions around you. Let 's learn how we can represent fractions visually. The first method is a linear method. In the linear method, the numbers are shown in a line to show the fraction size. In a linear model, the length of the line is equally divided into spaced intervals. The fraction can be then shown with the help of another line, which covers the entire length. The second method is called the Area method in which the area is represented in the form of a shape commonly a circle or rectangle. The fraction is shown in the form of division, where there are numerators and denominators. Like ¾ where the numerator represents the selected portions, and the denominator represents the total number of divisions. These worksheets are great way to show students the concept of a fraction by using a numbers line.

Printable Worksheets And Lessons

Homework Sheets

The first one is just to get student comfortable with numbers lines again.

  • Homework 1- Write a fraction to represent the point on the number line.
  • Homework 2- Answer questions 1-5 as true or false using the number line above.
  • Homework 3- Use the number line above to mark the following points.

Practice Worksheets

There a great mix of variety in here. This makes sure that students are reading all the directions.

  • Practice 1- Draw and mark a fraction on number line.
  • Practice 2Draw two arrows on the numbers line to indicate the addition problem.
  • Practice 3- Draw two arrows on the line to display the problem.
  • Practice 4- Draw the sums on the number line.

Math Skill Quizzes

You have to think of the whole number line as equal to 1 in some cases.

  • Quiz 1- Draw the following points on the number line above.
  • Quiz 2- Circle the correct answer below.